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A Discrete Analogue of Opial's Inequality

1967/04/01 by James S. W. Wong · 1 citation
Mathematics · #Mathematics and Applications #Advanced Mathematical Theories

paper · pdf · doi:10.4153/cmb-1967-013-3

Abstract

In a number of papers [1] - [7], successively simpler proofs were given for the following inequality of Opial [1], in case p=1. Theorem 1. If x(t) is absolutely continuous with x(0)=0, then for any p ≧ 0, (1) Equality holds only if x(t) = Kt for some constant K.

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